为揭示浸没型点吸收式波浪能发电装置在自由表面所产生波浪的特征,以作规则垂荡运动的浸没圆柱浮体的辐射波特征为研究对象,采用特征函数展开法求解垂荡圆柱的辐射波速度势,研究浮体的形状、位置、运动参数及水深对辐射波特征的影响规律。结果表明：作垂荡运动的浸没圆柱浮体在自由表面形成沿浮体中心轴对称的环状辐射波;其波幅在浮体正上方达到最大,并沿远离浮体的方向逐渐衰减;随着浮体上表面与自由表面距离的减小,辐射波波幅的最大值提高,但沿远离浮体方向衰减的速率亦增大;相比于增大浮体半径可使辐射波波幅显著提高,增大浮体高度和水深并未明显提高辐射波波幅;随着浮体垂荡周期的增大,辐射波波幅下降;辐射波相对于浮体位移的相位差主要取决于与浮体的无量纲距离,而不受浮体形状、位置及运动参数和水深的显著影响。
Abstract
To reveal the characteristics of the free-surface wave caused by a submerged-point-absorber wave energy converter, the radiation wave characteristics of a submerged cylindrical floater undergoing heave oscillations were studied. The characteristic function expansion method was used to solve the radiation potential of the oscillating cylinder, and the influence of the shape, position and motion parameters of the floaters as well as the water depth on the radiation wave characteristics was investigated. The results indicate that a submerged cylindrical floater undergoing heave oscillation forms an axisymmetric circular radiation wave along the central axis of the floater on the free surface. The amplitude of the radiation wave reaches its maximum value directly above the floater and gradually decays in the direction away from the floater. As the distance between the upper surface of the floater and the free surface decreases, the maximum amplitude of the radiation wave increases, but the rate of attenuation along the direction away from the floater also increases. Compared to the significant increase in radiation wave amplitude caused by increasing the radius of the floater, increasing the height of the floaters and water depth did not significantly increase the amplitude of the radiation wave. As the heave period of the floating body increases, the amplitude of the radiated wave decreases. The phase difference between the radiation wave and the displacement of the floater mainly depends on the dimensionless distance from the floater, and is not significantly affected by the shape, position, motion parameters of the floaters as well as the water depth.
关键词
波浪能发电 /
波浪能 /
波浪交互 /
特征函数展开法 /
势流 /
贝塞尔函数
Key words
wave energy conversion /
wave power /
wave interface /
characteristic function expansion method /
potential flow /
Bessel functions
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基金
国家自然科学基金（52275239）; 东南大学至善青年学者（2242022R40034）; 海洋工程国家重点实验室（上海交通大学）开放项目（GKZD010087）
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